if a tennis ball on is dropped it bounces or rebounds up to

if a tennis ball on is dropped, it bounces or rebounds, up to 80% of its initial height.
write the first five terms of a sequence that gives the max height attained by the tennis ball on each rebound when it is dropped from an initial height of 5feet. let a1=5. what TYPE of sequence is this?

graph these terms

find a general term for an (sub n)

Solution

a1 = 5

a2 = 0.8 * 5

a3 = 0.8^2 * 5

a4 = 0.8^3 * 5

a5 = 0.8^4 * 5

This is a geometric progression with common ratio of 0.8

General term:

an = 0.8^(n-1) * 5